Modelling of optimal back-shock frequency in hollow-fibre ultrafiltration membranes II : Semi-analytical mathematical model
(2016) In Journal of Membrane Science 506. p.137-143- Abstract
The influence of cross-flow velocity and transmembrane pressure on the optimal back-shock frequency and normalized net flux during back-shocking has been studied using a semi-analytical mathematical model. The model uses the flux as a function of time without back-shocking together with knowledge of the streamlines and pathlines during the back-shock cycle to predict the optimal normalized net flux as a function of forward filtration time. The model was used to investigate three different transmembrane pressures and three different cross-flow velocities during a back-shock cycle. The net flux was found to increase under all operating conditions when using back-shocking. The greatest increase in normalized net flux was found at the... (More)
The influence of cross-flow velocity and transmembrane pressure on the optimal back-shock frequency and normalized net flux during back-shocking has been studied using a semi-analytical mathematical model. The model uses the flux as a function of time without back-shocking together with knowledge of the streamlines and pathlines during the back-shock cycle to predict the optimal normalized net flux as a function of forward filtration time. The model was used to investigate three different transmembrane pressures and three different cross-flow velocities during a back-shock cycle. The net flux was found to increase under all operating conditions when using back-shocking. The greatest increase in normalized net flux was found at the highest cross-flow velocity and the highest transmembrane pressure, and corresponds to an increase of 37% compared to the steady-state flux. The highest cross-flow velocity and the highest transmembrane pressure gave the highest optimal back-shock frequency of 0.21 Hz. The optimal back-shock frequency was found to decrease with increasing pressure and decreasing cross-flow velocity.The model is easy to use in different applications as it is easy to measure flux during forward filtration without back-shocking. Good agreement was found between the semi-analytical model and a model based on computer fluid dynamics in predicting both the value of the optimal normalized net flux and the optimal back-shock frequency.
(Less)
- author
- Vinther, Frank LU and Jönsson, Ann Sofi LU
- organization
- publishing date
- 2016-05-15
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Back-shock frequency, Back-shocking, Mathematical modelling, Net flux, Semi-analytical model, Ultrafiltration
- in
- Journal of Membrane Science
- volume
- 506
- pages
- 7 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:84968442917
- wos:000370875900014
- ISSN
- 0376-7388
- DOI
- 10.1016/j.memsci.2016.01.040
- language
- English
- LU publication?
- yes
- id
- 1d8256d1-74c4-4974-8484-50b4d116caa6
- date added to LUP
- 2016-05-10 08:36:05
- date last changed
- 2024-06-28 06:00:18
@article{1d8256d1-74c4-4974-8484-50b4d116caa6,
abstract = {{<p>The influence of cross-flow velocity and transmembrane pressure on the optimal back-shock frequency and normalized net flux during back-shocking has been studied using a semi-analytical mathematical model. The model uses the flux as a function of time without back-shocking together with knowledge of the streamlines and pathlines during the back-shock cycle to predict the optimal normalized net flux as a function of forward filtration time. The model was used to investigate three different transmembrane pressures and three different cross-flow velocities during a back-shock cycle. The net flux was found to increase under all operating conditions when using back-shocking. The greatest increase in normalized net flux was found at the highest cross-flow velocity and the highest transmembrane pressure, and corresponds to an increase of 37% compared to the steady-state flux. The highest cross-flow velocity and the highest transmembrane pressure gave the highest optimal back-shock frequency of 0.21 Hz. The optimal back-shock frequency was found to decrease with increasing pressure and decreasing cross-flow velocity.The model is easy to use in different applications as it is easy to measure flux during forward filtration without back-shocking. Good agreement was found between the semi-analytical model and a model based on computer fluid dynamics in predicting both the value of the optimal normalized net flux and the optimal back-shock frequency.</p>}},
author = {{Vinther, Frank and Jönsson, Ann Sofi}},
issn = {{0376-7388}},
keywords = {{Back-shock frequency; Back-shocking; Mathematical modelling; Net flux; Semi-analytical model; Ultrafiltration}},
language = {{eng}},
month = {{05}},
pages = {{137--143}},
publisher = {{Elsevier}},
series = {{Journal of Membrane Science}},
title = {{Modelling of optimal back-shock frequency in hollow-fibre ultrafiltration membranes II : Semi-analytical mathematical model}},
url = {{http://dx.doi.org/10.1016/j.memsci.2016.01.040}},
doi = {{10.1016/j.memsci.2016.01.040}},
volume = {{506}},
year = {{2016}},
}